Finding the Fourth Proportional to 162,307,600,382.97, 243,469,053,324.86 and 133,924,888,332.09
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Solution
The fourth proportional to 162,307,600,382.97, 243,469,053,324.86 and 133,924,888,332.09 is: 200,893,647,012.93
Step by Step Solution
- Step 1: Write the proportion equation
162,307,600,382.97 : 243,469,053,324.86 = 133,924,888,332.09 : x - Step 2: Convert to fraction form
162,307,600,382.97/243,469,053,324.86 = 133,924,888,332.09/x - Step 3: Cross multiply
162,307,600,382.97x = 243,469,053,324.86 × 133,924,888,332.09 - Step 4: Simplify right side
162,307,600,382.97x = 32,606,565,778,851,536,830,464 - Step 5: Solve for x
x = 32,606,565,778,851,536,830,464/162,307,600,382.97 - Step 6: Final answer
x = 200,893,647,012.93
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.